SOLUTION: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS A two digit number is 6 more than the product of 7 and the sum of its digits. The number with the

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS A two digit number is 6 more than the product of 7 and the sum of its digits. The number with the       Log On


   

Question 1122278: 2 LINEAR EQUATIONS IN 2 UNKNOWNS or SIMULTANEOUS LINEAR EQUATIONS IN 2 UKNOWNS
A two digit number is 6 more than the product of 7 and the sum of its digits. The number with the digits reversed is 2 more than the product of 3 and the sum of its digit. Find the number
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You can assign variables to value of each digit.
t for the tens
u for the ones or units
and the unknown number is 10t%2Bu.


If you follow the description literally, you could write
system%2810t%2Bu=6%2B7%28t%2Bu%29%2Cand%2C10u%2Bt=2%2B3%28t%2Bu%29%29
Simplify and solve that system.

system%28t-2u=2%2C-2t%2B7u=2%29

system%28u=2%2Cand%2Ct=6%29

NUMBER: 62